If y = (6x)¹/2, what is

Q: d dx sin(t) dt

A: We have to find derivative

Q: Choose the letter of the correct answe. 1) x² (xdy + ydx) = (5- xy) dx a) x ln (5-xy) = 1- cx b) -x…

A: We are allow to solve first question only .If you need rest of answer please upload it separately…

Q: Problem 2: You are given the step function below, where b is a real number: -6b, x ≥2 f(x) = {b²x 8,…

A: Given  f(x)b2x-6bx≥28x<2

Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 5, f'(0) = 2

A: Given, f"(θ)=sinθ+cosθ f(0)=5 and f'(0)=2

Q: Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 2 sin²(t)) π at t =…

A: I have appended the formula used in the solution part of the question

Q: Find the equations of the tangent lines in both the x-direction & the y-direction to the function z…

A: We need to find equation of tangent line.

Q: Determine the critical numbers for f(x) = (x-a)*(x-b)*. Ox=a, x=b and x=m+n h Ox=-a, x=-b and x=n+m…

A: Since you have asked to solve two sub questions we will solve it.

Q: Find the angle ū= , V = degrees

A: To find the angle between the given vectors.

Q: Question 20 sin t Dz 20 sin T I COS T sin r I COS I I Cos I sin z 2x² COS T 2 JORNAL 27² MAN dabiskt

A: Here, to find the derivative of sin x2x which is a rational function. So, we use the quotient rule…

Q: The set of all the solutions of the equation z³ = -27 in the complex plane is (a) (-3) (b)…

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Q: What is the second derivative of ƒ(g) = 12g² + 15g² +26g³?

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Q: Write the first five terms of the sequence, give the exact answer: +∞ n n+1 n=1 Determine whether…

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Q: Give a limit expression that describes the left end behavior of the function. 2+7x+8x² f(x) = Select…

A: We can solve this as follows:

Q: -5e 1 Evaluate the integral: dx. 1 x A. - - 1 5e B. 1+ In 5 C. 0 D.00

A: We have to evaluate to integrate

Q: A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

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Q: 20- 18 16- 14- 12 10 Co 8 6 4 2 1 Estimate the instantaneous rate of change at x = 1

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Q: A plane Π2 intersects Π1: 4x − 2y + 7z − 3 = 0 at right angles. Two points lie on Π2: A (3, 2, 0)…

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Q: Determine whether the series converges. 1 Σ- k=1 √11k - 1 The series diverges. The series converges.

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Q: The graph of the function y = f(x) passes through the point (-1, 1) and the line tangent to the…

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Q: Find : dw/dk α w=2 sin m ka 2

A: To find dw/dk for the given w

Q: is f'(x) given the integral function f(x) = cos(u) sin(u) du?

A:

Q: Find an equation for the plane through P(1,4, 4) that contains the line of intersection of the…

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Q: For the function f(x) = 3x − 5 ln x determine a) Domain of f, b) Critical points of f, c) Intervals…

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Q: Write the parametric equations of the line through the point P (-6, 4, 3), that is perpendicular to…

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Q: The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the…

A: If r=r(t) is a position vector then v(t)=drdt is the velocity vector        a(t)=dvdt is the…

Q: Given f(x, y) = 6x6 - 6x²y³ - 5y³, find fz(x, y) = fy(x, y) = fiz(x, y) = fay(x, y) =

A: Solution

Q: Find the exact value of the following improper integral: ex L x2 dx

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Q: Which of the following series is converges or diverges. If the series converges, find its sum? 2+2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: fidencos 3 Evaluate If (n²7y) dv kabrood if G. As the solid bounded by is the parabolic cylinder…

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Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Topic = Vector

Q: 2. Eliminate the arbitrary constants by elimination and combination y = C₁еx + C₂e²x + С₂e-³x

A:

Q: An open box of maximum volume is made from a square piece of material 24 centimeters on a side by…

A: The volume of a cuboid=length×width×height

Q: Determine whether the series converges. The series diverges. O The series converges. 1 Σ V/24 - 1 2k…

A: We can see that k is in the denominator.

Q: 1. Why is mathematics difficult to define?

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 7) y (2xy + 1) dx - xdy = = 0

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Q: Ⓒ Find ³ dx J & 4 3

A: SOLUTION-

Q: Solve the initial value problem by using the Laplace transform. y"-9y=3e¹; y(0)=0, y'(0)=1

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Q: f(x,y)= exsin (y), fx(x,y)

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Q: 1 1- Q2: Evaluate f ¹-² y² (x² + y²) dx dy the product

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Q: What is the area under the curve y = cosx over the interval [0 ,π/2]?

A: Integrating the equation of curve in the given interval gives the area

Q: Find each function value and the limit for f(x) = (A) f(-10) (B) f(-20) (A) f(-10)= (Round to the…

A: Given problem:-

Q: Determine whether the series converges. O The series diverges. O The series converges. 00 Σ k=1 k…

A: We can solve as follows

Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

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Q: 3 2 3 0 Given the matrices A = B = 3 -1 5 for the matrix X in the equation XA + 3B = C. and C Го…

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Q: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

A: Note: Since, the student has mentioned a typing error in the function and want to replace the x's…

Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: Use the graph off to determine where a) f(x) > 0 and b) f(x) 0 on the interval 300-

A: Topic = Functions

Q: Using Newton Raphson's method find the root of the non-linear equation e=lnx-1 with three…

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Q: 3 2 Find the area bounded by the two curves y = x³-6x²+ 8x and y = x² - 4x

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth…

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